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Dirac and Weyl Superconductors in Three Dimensions

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arxiv 1402.7070 v1 pith:LBMU2XRF submitted 2014-02-27 cond-mat.supr-con cond-mat.mes-hallcond-mat.str-el

classification cond-mat.supr-concond-mat.mes-hallcond-mat.str-el
keywords diracsymmetrymirrornodalnodesweylwhenbroken
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abstract

We introduce the concept of 3D Dirac (Weyl) superconductors (SC), which have protected bulk four(two)-fold nodal points and surface Andreev arcs at zero energy. We provide a sufficient criterion for realizing them in centrosymmetric SCs with odd-parity pairing and mirror symmetry, e.g., the nodal phases of Cu$_x$Bi$_2$Se$_3$. Pairs of Dirac nodes appear in a mirror-invariant plane when the mirror winding number is nontrivial. Breaking mirror symmetry may gap Dirac nodes producing a topological SC. Each Dirac node evolves to a nodal ring when inversion-gauge symmetry is broken. A Dirac node may split into a pair of Weyl nodes, only when time-reversal symmetry is broken.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Dirac nodal line network in non-symmorphic rutile semimetal RuO$_2$

    cond-mat.mes-hall 2019-08 reject novelty 5.0 of 10

    Micro-ARPES resolves two predicted Dirac nodal lines in RuO2 and reveals a third band crossing along XR that anchors a flat-band surface state.

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